259626081120 has 384 divisors, whose sum is σ = 959810632704. Its totient is φ = 57755787264.

The previous prime is 259626081083. The next prime is 259626081139. The reversal of 259626081120 is 21180626952.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42329574 + ... + 42335706.

It is an arithmetic number, because the mean of its divisors is an integer number (2499506856).

Almost surely, 2^259626081120 is an apocalyptic number.

259626081120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 259626081120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479905316352).

259626081120 is an abundant number, since it is smaller than the sum of its proper divisors (700184551584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

259626081120 is a wasteful number, since it uses less digits than its factorization.

259626081120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6494 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The spelling of 259626081120 in words is "two hundred fifty-nine billion, six hundred twenty-six million, eighty-one thousand, one hundred twenty".